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Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation,... Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009 (Hardcover, 2011 ed.)
Emmanuil H Georgoulis, Armin Iske, Jeremy Levesley
R4,264 Discovery Miles 42 640 Ships in 10 - 15 working days

This book collects up-to-date papers from world experts in a broad variety of relevant applications of approximation theory, including dynamical systems, multiscale modelling of fluid flow, metrology, and geometric modelling to mention a few. The 14 papers in this volume document modern trends in approximation through recent theoretical developments, important computational aspects and multidisciplinary applications. The book is arranged in seven invited surveys, followed by seven contributed research papers. The surveys of the first seven chapters are addressing the following relevant topics: emergent behaviour in large electrical networks, algorithms for multivariate piecewise constant approximation, anisotropic triangulation methods in adaptive image approximation, form assessment in coordinate metrology, discontinuous Galerkin methods for linear problems, a numerical analyst's view of the lattice Boltzmann method, approximation of probability measures on manifolds. Moreover, the diverse contributed papers of the remaining seven chapters reflect recent developments in approximation theory, approximation practice and their applications. Graduate students who wish to discover the state of the art in a number of important directions of approximation algorithms will find this a valuable volume. Established researchers from statisticians through to fluid modellers will find interesting new approaches to solving familiar but challenging problems. This book grew out of the sixth in the conference series on "Algorithms for Approximation", which took place from 31st August to September 4th 2009 in Ambleside in the Lake District of the United Kingdom.

Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations (Hardcover, 1st... Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations (Hardcover, 1st ed. 2016)
Gabriel R. Barrenechea, Franco Brezzi, Andrea Cangiani, Emmanuil H Georgoulis
R3,623 Discovery Miles 36 230 Ships in 12 - 17 working days

This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium "Building bridges: connections and challenges in modern approaches to numerical partial differential equations". This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.

Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations (Paperback,... Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2016)
Gabriel R. Barrenechea, Franco Brezzi, Andrea Cangiani, Emmanuil H Georgoulis
R2,834 Discovery Miles 28 340 Ships in 10 - 15 working days

This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium "Building bridges: connections and challenges in modern approaches to numerical partial differential equations". This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.

Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation,... Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009 (Paperback, 2011 ed.)
Emmanuil H Georgoulis, Armin Iske, Jeremy Levesley
R4,235 Discovery Miles 42 350 Ships in 10 - 15 working days

This book collects up-to-date papers from world experts in a broad variety of relevant applications of approximation theory, including dynamical systems, multiscale modelling of fluid flow, metrology, and geometric modelling to mention a few. The 14 papers in this volume document modern trends in approximation through recent theoretical developments, important computational aspects and multidisciplinary applications. The book is arranged in seven invited surveys, followed by seven contributed research papers. The surveys of the first seven chapters are addressing the following relevant topics: emergent behaviour in large electrical networks, algorithms for multivariate piecewise constant approximation, anisotropic triangulation methods in adaptive image approximation, form assessment in coordinate metrology, discontinuous Galerkin methods for linear problems, a numerical analyst's view of the lattice Boltzmann method, approximation of probability measures on manifolds. Moreover, the diverse contributed papers of the remaining seven chapters reflect recent developments in approximation theory, approximation practice and their applications. Graduate students who wish to discover the state of the art in a number of important directions of approximation algorithms will find this a valuable volume. Established researchers from statisticians through to fluid modellers will find interesting new approaches to solving familiar but challenging problems. This book grew out of the sixth in the conference series on "Algorithms for Approximation", which took place from 31st August to September 4th 2009 in Ambleside in the Lake District of the United Kingdom.

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes (Paperback, 1st ed. 2017): Andrea Cangiani,... hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes (Paperback, 1st ed. 2017)
Andrea Cangiani, Zhaonan Dong, Emmanuil H Georgoulis, Paul Houston
R2,059 Discovery Miles 20 590 Ships in 10 - 15 working days

Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages. This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable elemen t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.

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